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Matematicheskie Zametki, 1997, Volume 61, Issue 6, Pages 907–921
DOI: https://doi.org/10.4213/mzm1574
(Mi mzm1574)
 

This article is cited in 4 scientific papers (total in 4 papers)

Minimal binary trees with a regular boundary: The case of skeletons with five endpoints

A. A. Tuzhilin

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
References:
Abstract: Locally minimal binary trees that span the vertices of regular polygons are studied. Their description is given in the dual language, that of diagonal triangulations of polygons. Diagonal triangulations of a special form, called skeletons, are considered. It is shown that planar binary trees dual to skeletons with five endpoints do not occur among locally minimal binary trees that span the vertices of regular polygons.
Received: 25.05.1995
Revised: 03.03.1997
English version:
Mathematical Notes, 1997, Volume 61, Issue 6, Pages 758–769
DOI: https://doi.org/10.1007/BF02361218
Bibliographic databases:
UDC: 514.112.4+519.17
Language: Russian
Citation: A. A. Tuzhilin, “Minimal binary trees with a regular boundary: The case of skeletons with five endpoints”, Mat. Zametki, 61:6 (1997), 907–921; Math. Notes, 61:6 (1997), 758–769
Citation in format AMSBIB
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\by A.~A.~Tuzhilin
\paper Minimal binary trees with a regular boundary: The case of skeletons with five endpoints
\jour Mat. Zametki
\yr 1997
\vol 61
\issue 6
\pages 907--921
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\crossref{https://doi.org/10.4213/mzm1574}
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\transl
\jour Math. Notes
\yr 1997
\vol 61
\issue 6
\pages 758--769
\crossref{https://doi.org/10.1007/BF02361218}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1997YE52200030}
Linking options:
  • https://www.mathnet.ru/eng/mzm1574
  • https://doi.org/10.4213/mzm1574
  • https://www.mathnet.ru/eng/mzm/v61/i6/p907
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
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